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Simplifying 4(3x2 + 2x) + -12x2 = 2(8x + 6) Reorder the terms: 4(2x + 3x2) + -12x2 = 2(8x + 6) (2x * 4 + 3x2 * 4) + -12x2 = 2(8x + 6) (8x + 12x2) + -12x2 = 2(8x + 6) Combine like terms: 12x2 + -12x2 = 0 8x + 0 = 2(8x + 6) 8x = 2(8x + 6) Reorder the terms: 8x = 2(6 + 8x) 8x = (6 * 2 + 8x * 2) 8x = (12 + 16x) Solving 8x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 8x + -16x = 12 + 16x + -16x Combine like terms: 8x + -16x = -8x -8x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -8x = 12 + 0 -8x = 12 Divide each side by '-8'. x = -1.5 Simplifying x = -1.5
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